Quantum Mechanics and Quantum Field Theory from Algebraic and Geometric Viewpoints (2/4)
De Albert Schwarz
Quantum Mechanics and Quantum Field Theory from Algebraic and Geometric Viewpoints (1/4)
De Albert Schwarz
Apparaît dans la collection : Summer School 2021: Enumerative Geometry, Physics and Representation Theory
The Kauffman bracket skein algebra is a quantization of the algebra of regular functions on the SL_2 character of a topological surface. I will explain how to realize the skein algebra of the 4-punctured sphere as the output of a mirror symmetry construction based on higher genus Gromov-Witten invariants of a log Calabi-Yau cubic surface. This leads to the proof of a previously conjectured positivity property of the bracelets bases of the skein algebras of the 4-punctured sphere and of the 2-punctured torus.